You've got that right.
My youngest played baseball and the baseball fields and stadiums, were not as fancy as the football stadiums. Even then though there were drastic differences between poorer school districts and the richer ones. When you get down to it, the playing fields are pretty much the same. The grass may be better on the fancy fields, but the game is the same.
My oldest son was a varsity wrestler all 4 years. Down here in Texas, there's no money thrown around for wrestling.
There definitely should be stadium construction limits.